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Finding the Fourth Proportional to 4,872.42, 7,307.64 and 1,751.94

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Solution

The fourth proportional to 4,872.42, 7,307.64 and 1,751.94 is: 2,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.42 : 7,307.64 = 1,751.94 : x
  2. Step 2: Convert to fraction form
    4,872.42/7,307.64 = 1,751.94/x
  3. Step 3: Cross multiply
    4,872.42x = 7,307.64 × 1,751.94
  4. Step 4: Simplify right side
    4,872.42x = 12,802,546.82
  5. Step 5: Solve for x
    x = 12,802,546.82/4,872.42
  6. Step 6: Final answer
    x = 2,627.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.